Jeudi 12 mai 2022
Kai Zeng (Université de Franche-Comté)
Given a quantum tori , we can define the Riesz transforms on the quantum tori and the commutator , where is the operator on of pointwise multiplication by . In this talk, we will characterize the Schatten properties of the commutator by showing that , where is the Besov space on quantum tori. Futhermore, we will extend this characterisation to the more general case where replaced by an arbitrary Calderon-Zygmund operator. To date, these new results treat the quantum differentiability in the strictly noncommutative setting